What is the axis (x^2)/(36)+(y^2)/(16)=1 ?

The axis (x^2)/(36)+(y^2)/(16)=1 is semi-major axis a=6, semi-minor axis b=4

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axis (x^2)/(36)+(y^2)/(16)=1

axis

\frac{x ^{2}}{36} + \frac{y ^{2}}{16} = 1

semi - major axis a = 6, semi - minor axis b = 4

Solution steps

\frac{x ^{2}}{36} + \frac{y ^{2}}{16} = 1

Rewrite

\frac{x ^{2}}{36} + \frac{y ^{2}}{16} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{6 ^{2}} + \frac{( y - 0 ) ^{2}}{4 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 6, b = 4

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 6, b = 4

\frac{x ^{2}}{16} + (y - 4)^{2} = 1

49 x^{2} + 64 y^{2} = 25

\frac{x ^{2}}{9} + (y - 1)^{2} = 1

9 x^{2} + 16 y^{2} - 144 = 0

x^{2} + 4 y^{2} = 1

What is the axis (x^2)/(36)+(y^2)/(16)=1 ?
The axis (x^2)/(36)+(y^2)/(16)=1 is semi-major axis a=6, semi-minor axis b=4